What is the Least Common Multiple of 30516 and 30535?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 30516 and 30535 is 931806060.
LCM(30516,30535) = 931806060
Least Common Multiple of 30516 and 30535 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30516 and 30535, than apply into the LCM equation.
GCF(30516,30535) = 1
LCM(30516,30535) = ( 30516 × 30535) / 1
LCM(30516,30535) = 931806060 / 1
LCM(30516,30535) = 931806060
Least Common Multiple (LCM) of 30516 and 30535 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30516 and 30535. First we will calculate the prime factors of 30516 and 30535.
Prime Factorization of 30516
Prime factors of 30516 are 2, 3, 2543. Prime factorization of 30516 in exponential form is:
30516 = 22 × 31 × 25431
Prime Factorization of 30535
Prime factors of 30535 are 5, 31, 197. Prime factorization of 30535 in exponential form is:
30535 = 51 × 311 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 30516 and 30535.
LCM(30516,30535) = 22 × 31 × 25431 × 51 × 311 × 1971
LCM(30516,30535) = 931806060
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